Boletim da Sociedade Paranaense de Matemática (Nov 2008)
Weighted Sobolev Spaces and Degenerate Elliptic Equations
Abstract
In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.